Algebra

Vertex of a Parabola

Finds the horizontal coordinate of a quadratic vertex.

xᵥ = −b/(2a)

Variables

xᵥ
x-coordinate of vertex
a,b
quadratic coefficients

Example

x²−6x+5 → xᵥ=3

How to use this formula

Identify the known values, keep units consistent, substitute the values into the formula, and calculate carefully. Then check whether the result is reasonable for the original problem.